%0 Journal Article
%T Analytic semigroups generated by an operator matrix in L^2(Omega) X L^2(Omega)
%A Salah Badraoui
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X This article concerns the generation of analytic semigroups by an operator matrix in the space $L^2(Omega) imes L^2(Omega)$. We assume that one of the diagonal elements is strongly elliptic and the other is weakly elliptic, while the sum of the non-diagonal elements is weakly elliptic.
%K Analytic semigroup
%K infinitesimal generator
%K operator matrix
%K dissipative operator
%K dual space
%K adjoint operator
%K strongly elliptic operator
%U http://ejde.math.txstate.edu/Volumes/2012/166/abstr.html